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91¶¶Òõ

Last updated

2 July 2026

pdf, 158.64 KB
pdf, 158.64 KB

A worksheet on the gradient and y-intercept of a linear equation. The exercises require to:

  • find the gradient and the y-intercept of a line given its equation
  • find the equation of a line given its gradient and its y-intercept
  • find the equation of a line given its gradient and a point on the line
  • find the gradient of a line given two points on the line
  • find the gradient of a line given its graph
  • find the equation of a line given its graph
  • match given lines with their equations
    There are four pages of exercises and detailed solutions are included.

Engage your students with this comprehensive, no-prep linear equations maths worksheet! This resource is designed to help students master finding gradients, identifying y-intercepts, writing linear equations, and matching equations to graphs. Perfect for classroom practice, homework, cover lessons, or GCSE revision!

What is Included in This Resource?
This high-quality worksheet pack includes a complete, step-by-step visual solution key for every single problem:

  • Section 1: Finding Gradient & Y-Intercept (12 Questions): Identifying the gradient and y-intercept from multiple formats, including standard slope-intercept form, rearranged equations, and fractional expressions.
  • Section 2: Writing Linear Equations (4 Questions): Finding the equation of a line given the gradient and a point, or two coordinates.
  • Section 3: Calculating Gradient from Two Points (6 Questions): Using the gradient formula to find the rate of change between pairs of coordinate points.
  • Section 4: Analyzing Graphs (4 Questions): Finding the gradient and the full equation directly from a graphed grid.
  • Section 5: Graph Matching Activities (2 Major Multi-Part Questions): Matching given linear equations to their correct lines (l1, l2, l3) on a coordinate axes grid.

Why Teachers Love This Resource

  • No Prep Required: Just print and go! It is ready to use immediately in your maths classroom.
  • Full Worked Solutions: Comes with a step-by-step answer key, making it perfect for quick grading, self-marking, or peer assessment.
  • Great for Differentiation: Questions progress naturally from basic identification to more complex algebraic rearrangement and graph analysis.

Target Key Stages & Curriculum Standards
This worksheet is ideal for Key Stage 3 (Years 7, 8, and 9) and Key Stage 4 / Foundation GCSE and iGCSE (Years 10 and 11).
UK National Curriculum & GCSE Maths Aligned:

  • Algebra: Interpret the equation of a straight line in the form y = mx + c; find the coordinates of points given by equations; find the gradient and y-intercept of a straight line from its equation or graph; calculate the gradient of a line passing through two given points.

Get this resource as part of a bundle and save up to 42%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Equation of a Line, Gradient (Slope) and y-Intercept Bundle (with Answers)

Four worksheets on the equation of a line. * One worksheet on putting a linear equation in slope-intercept form and then identifying the slope and the y-intercept. * One worksheet on determining the equation of a straight line given its gradient and a point on it. * One worksheet on the gradient and y-intercept of a linear equation. The exercises require to: find the gradient and the y-intercept of a line given its equation, find the equation of a line given its gradient and its y-intercept, find the equation of a line given its gradient and a point on the line, find the gradient of a line given two points on the line, find the gradient of a line given its graph, find the equation of a line given its graph and match given lines with their equations. * One worksheet on the slope of a straight line. The exercises require to find the slope of a line given the equation of the line, a table of values associated with the line, two point on the line and the graph of the line. Detailed solutions to all worksheets are included. **Engage your students with this ultimate, no-prep linear equations maths worksheet bundle!** This comprehensive resource includes 4 complete worksheet packs designed to help students master finding gradients, identifying y-intercepts, reading tables, writing linear equations, and matching graphs. Perfect for classroom practice, homework, cover lessons, or GCSE revision! **What is Included in This Bundle?** This high-quality bundle includes 4 separate worksheet sets, each complete with step-by-step visual solution keys for every single problem: * **Pack 1: Slope-Intercept Form Drill Worksheet (20 Questions):** Practice rearranging various equation formats into standard slope-intercept form to easily identify the gradient and y-intercept. * **Pack 2: Finding Equations from Gradient & Points (20 Questions):** Targeted practice using a given gradient and coordinate point to calculate the full equation of a line. * **Pack 3: Finding Gradient from Equations, Tables, Points & Graphs (20+ Questions):** A multi-skill worksheet that challenges students to calculate rates of change across four different mathematical representations. * **Pack 4: Analysing Graphs & Matching Activities (Multiple Multi-Part Questions):** Interactive practice finding linear equations directly from a grid and matching lines to their correct equations on a coordinate axes grid. **Why Teachers Love This Resource** * **No Prep Required:** Just print and go! It is ready to use immediately in your maths classroom. * **Full Worked Solutions:** Every worksheet comes with a step-by-step answer key, making it perfect for quick grading, self-marking, or peer assessment. * **Great for Differentiation:** Questions progress naturally from basic computation to challenging algebraic rearrangement and graph analysis. **Target Key Stages & Curriculum Standards** This bundle is ideal for **Key Stage 3 (Years 7, 8, and 9) and Key Stage 4 / Foundation GCSE and iGCSE (Years 10 and 11).** **UK National Curriculum & GCSE Maths Aligned:** * **Algebra:** Interpret the equation of a straight line in the form y = mx + c; find the coordinates of points given by equations; find the gradient and y-intercept of a straight line from its equation or graph; calculate the gradient of a line passing through two given points; interpret equations, tables, graphs, and coordinates concurrently.

£3.35

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